Constitutive Modeling and Finite Element Simulation of Metal-Polymer-Metal Sandwich Structures

M. Fagerstr¨om, G. Catalanotti, P. K. Dileep, Stefan Hartmann, Tobias Fischer, Gerhard Ziegmann, Wei Hua, Heinz Palkowski
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Abstract

The practical application of light-weight structures in the form of sandwich structures is of particular interest in structural, automotive, marine, and aviation industries. We investigate metal/polymer/metal (MPM) sandwich structures, which show complex response when subjected to metal forming processes due to varying material characteristics within the layers. To evaluate the forming processes of sandwich structures, constitutive models for the face sheets made of heat treated steel of deep drawing quality and the core layer made of PA6 polymer are a prerequisite. For a first instance, a finite strain viscoplasticity model as proposed in [1, 2] is chosen. For the core layer, an extended constitutive model as shown in [3] will be proposed. This is based on a thermo-mechanically consistent finite strain overstress-type viscoplasticity model representing the material behavior of PA6. In this regard, a number of experiments are shown, which are the basis of the model. Both constitutive models contain material parameters, which are identified by tensile tests investigating rate-dependent, long term relaxation, and multi-step relaxation behavior performed at room temperature, see for a possible procedure [4]. In the final step, the constitutive models for steel and PA6 are numerically validated using deep drawing and bending experiments of MPM sandwich structures.
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金属-聚合物-金属夹层结构的本构建模与有限元仿真
以夹层结构形式的轻质结构的实际应用在结构、汽车、船舶和航空工业中特别有趣。我们研究了金属/聚合物/金属(MPM)夹层结构,由于层内材料特性的变化,在金属成形过程中表现出复杂的响应。为了对夹芯结构的成形工艺进行评价,需要建立深拉深质量热处理钢板和PA6聚合物芯层的本构模型。首先选取[1,2]中提出的有限应变粘塑性模型。对于核心层,我们将提出一个扩展本构模型,如[3]所示。这是基于热机械一致的有限应变超应力型粘塑性模型,代表PA6的材料行为。在这方面,展示了一些实验,这些实验是模型的基础。两种本构模型都包含材料参数,这些参数是通过研究速率依赖性、长期弛豫和在室温下进行的多步弛豫行为的拉伸试验确定的,请参见可能的程序[4]。最后,通过点材夹芯结构的拉深和弯曲实验,对钢和PA6的本构模型进行了数值验证。
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